163k views
2 votes
Find the missing terms in the arithmetic sequence 1, __, __, __, 29,...

1 Answer

4 votes

9514 1404 393

Answer:

8, 15, 22

Explanation:

The sequence has ...

a1 = 1

a5 = 29

__

The generic formula for an arithmetic sequence is ...

an = a1 +d(n -1)

Filling in the known information, we can find d:

29 = 1 + d(5 -1)

28/4 = d = 7

The terms of the sequence have a common difference of 7, so each is 7 more than the one before. The first five terms are ...

1, 8, 15, 22, 29

The missing terms are 8, 15, 22.

User Lukesrw
by
7.2k points

No related questions found